In the context of a programming forum, we don't usually think of the programmer also needing the application portion of the database. Normally a programmer wants to use their own development environment for the business logic and front end, and just use the store, query, retrieval, and data processing capabilities of the database.
If you really want all those other things, then you're talking about a much larger and more complicated run time environment. You're not going to find anything that's 'lightweight' any more. Even MS Access itself no longer qualifies, because it's hardly light weight. It's just lucky in that a lot of users might already have it, making it appear to be light weight.
This doesn't mean you won't find anything. Just that it's not likely to have the same level of maturity or distribution as Access, especially since the underlying access engine is already baked into Windows.
